Question 2
Exactly one of four dwarfs A, B, C and D stole the king's gold. Each makes two statements:
• A: “B is a liar.” “C or D stole the gold.”
• B: “C is a liar.” “D or A stole the gold.”
• C: “D is a liar.” “A or B stole the gold.”
• D: “A is a liar.” “B or C stole the gold.”
A liar makes at least one false statement; a truthful dwarf makes two true statements. How many of the eight statements are true?
• A: “B is a liar.” “C or D stole the gold.”
• B: “C is a liar.” “D or A stole the gold.”
• C: “D is a liar.” “A or B stole the gold.”
• D: “A is a liar.” “B or C stole the gold.”
A liar makes at least one false statement; a truthful dwarf makes two true statements. How many of the eight statements are true?